Customers amive at a local ATM at anaverage rate of 14 per hour. Assume the time

Question

Customers amive at a local ATM at anaverage rate of 14 per hour. Assume the time between arrivals follows the exponential probability distnbution. Determine the probability that the next customer will arrive in the following ime frames a) What is the probability that the next customer will arrive within the next 5 minutes? b) What is the probability that the next customer will arive in more than 6 minutes? c) What is the probability that the next customer will arive between 5 and 11 minutes? a) The probability that the next custorner will arrive within the next 5 minutes is Round to four decirmal places as needed.)

Explanation / Answer

a) P(X <= x) = 1 ex
= 14 per hour

P(X <= 5/60) = 1 - e-14*(5/60) = 0.6886

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